According to the investment management firm, a person with a moderate investment strategy and $$ n $$ years to retirement should have accumulated savings of $$ a_{n} $$ percent of his or her annual salary. The geometric sequence defined by $$ a_{n}=1271(0.919)^{n} $$ gives the appropriate percent for each year $$ n $$. (a) Find $$ a_{1} $$ and $$ r $$. Round $$ a_{1} $$ to the nearest whole number. (b) Find and interpret the terms $$ a_{10} $$ and $$ a_{20} $$. Round to the nearest whole number. (a) $$ a_{1} \approx \square $$ (Round to the nearest whole number as needed.)

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Davison Lynch · Accepted Answer

(a) $$ a_{1} \approx 1168 $$ (b) $$ a_{10} \approx 546 $$, $$ a_{20} \approx 235 $$

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